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142360362110412 = 2232672512309101839
BaseRepresentation
bin100000010111100111011010…
…110100000100110111001100
3200200001111222101222100011100
4200113213122310010313030
5122124413010200013122
61222435240354423100
741662124325140625
oct4027473264046714
9620044871870140
10142360362110412
11413a67660a2296
1213b72485291a90
1361586a8567064
1427223c78b2a4c
15116d1be0a7aac
hex8179dad04dcc

142360362110412 has 144 divisors (see below), whose sum is σ = 366843827750400. Its totient is φ = 46538336592000.

The previous prime is 142360362110389. The next prime is 142360362110443. The reversal of 142360362110412 is 214011263063241.

142360362110412 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 6 + 0 + 3 + 621 + 10 + 4 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1397845389 + ... + 1397947227.

It is an arithmetic number, because the mean of its divisors is an integer number (2547526581600).

Almost surely, 2142360362110412 is an apocalyptic number.

142360362110412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142360362110412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183421913875200).

142360362110412 is an abundant number, since it is smaller than the sum of its proper divisors (224483465639988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142360362110412 is a wasteful number, since it uses less digits than its factorization.

142360362110412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104476 (or 104471 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 142360362110412 in words is "one hundred forty-two trillion, three hundred sixty billion, three hundred sixty-two million, one hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 251 268 402 502 603 753 804 1004 1206 1506 2259 2309 2412 3012 4518 4618 6927 9036 9236 13854 16817 20781 27708 33634 41562 50451 67268 83124 100902 101839 151353 154703 201804 203678 302706 305517 309406 407356 464109 579559 605412 611034 618812 916551 928218 1159118 1222068 1392327 1738677 1833102 1856436 2318236 2784654 3477354 3666204 5216031 5569308 6823213 6954708 10432062 13646426 20469639 20864124 25561589 27292852 38830453 40939278 51123178 61408917 76684767 77660906 81878556 102246356 116491359 122817834 153369534 155321812 230054301 232982718 235146251 245635668 306739068 349474077 460108602 465965436 470292502 698948154 705438753 920217204 940585004 1397896308 1410877506 1712626463 2116316259 2821755012 3425252926 4232632518 5137879389 6850505852 8465265036 10275758778 15413638167 15754798817 20551517556 30827276334 31509597634 47264396451 59021709001 61654552668 63019195268 94528792902 118043418002 141793189353 177065127003 189057585804 236086836004 283586378706 354130254006 531195381009 567172757412 708260508012 1062390762018 2124781524036 3954454503067 7908909006134 11863363509201 15817818012268 23726727018402 35590090527603 47453454036804 71180181055206 142360362110412